0580/11 Oct/Nov 2024, Question 10: Linear Sequences and Common Difference
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Two sequence questions: continue a given list of four terms, and work backwards using a multiply-by-3-then-subtract-1 rule with fourth term 68.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Given the first four terms 10, 16, 22, 28, write down the next term.
- 1The terms go up by 6
- 228 + 6 = 34
Answer34
Part (b) · 2 marks
A sequence uses multiply by 3 and subtract 1; the fourth term is 68, so find the third term.
- 13 × (3rd term) − 1 = 68
- 23rd term = (68 + 1) ÷ 3 = 23
Answer23
Stuck on a step? Read the free lesson: Linear Sequences and Common Difference
Practise more linear sequences and common difference questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on linear sequences and common difference
Also searched as: 0580/11/O/N/24 · 0580_w24_qp_11 · 0580 w24 11 · question 10.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.